12643560 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3218688.

The previous prime is 12643549. The next prime is 12643571. The reversal of 12643560 is 6534621.

12643560 is a `hidden beast` number, since 12 + 643 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12643549) and next prime (12643571).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24586 + ... + 25094.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^12643560 is an apocalyptic number.

12643560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

12643560 is an abundant number, since it is smaller than the sum of its proper divisors (31420440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12643560 is a wasteful number, since it uses less digits than its factorization.

12643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12643560 is about 3555.7783957947. The cubic root of 12643560 is about 232.9645239387.

It can be divided in two parts, 12643 and 560, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12643560 in words is "twelve million, six hundred forty-three thousand, five hundred sixty".